Ths number that goes beneath the radical symbol is 29.
Explanation:
- If we form a triangle using the given points, we drop a vertical line from (1, 1) and a horizontal line to the left of (3, -4). The point where both the lines intersect is the third point. The other point is (1, -4).
- The vertical distance from (1, 1) and (1, -4) is 1 - (-4) = 1 + 4 = 5 units, the horizontal distance from (1, -4) and (3, -4) is 3 -1 = 2 units.
- The opposite side of the triangle measures 5 units while the adjacent side measures 3 units. The line joining (1, 1) and (3, -4) is the hypotenuse. Assume the hypotenuse measures x units.
- According to Pythagoras theorem, x = √(5² + 2²), x = √25 + 4 = √29. So the number under the radical symbol is 29.
5.7 centiliters :)
hope this helped
The slope is going to be negative. Pick any two points from the graph and find the slope.
m= -3
pick any point on the line, I picked (0,4) and find "b"
y=mx+b
4=(-3)(0) +b
b= 4
y=-3x + 4
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
